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The hydrostatic approximation of compressible anisotropic Navier-Stokes equations
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SYSNO ASEP 0554643 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title The hydrostatic approximation of compressible anisotropic Navier-Stokes equations Author(s) Gao, H. (CN)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Tang, T. (CN)Source Title Proceedings of Topical Problems of Fluid Mechanics 2022. - Prague : Institute of Thermomechanics AS CR, 2022 / Šimurda D. ; Bodnár T. - ISSN 2336-5781 - ISBN 978-80-87012-77-2 Pages s. 59-64 Number of pages 6 s. Publication form Print - P Action Topical Problems of Fluid Mechanics 2022 Event date 16.02.2022 - 18.02.2022 VEvent location Prague Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords anisotropic Naiver-Stokes equations ; aspect ratio limit ; hydrostatic approximation Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GA19-04243S GA ČR - Czech Science Foundation (CSF) Institutional support MU-W - RVO:67985840 DOI 10.14311/TPFM.2022.009 Annotation The aim of the paper is to give a rigorous derivation of the hydrostatic approximation by taking the small aspect ratio limit to the Navier-Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in the general large scale geophysical motions meaning that the vertical scale is signi cantly smaller than horizontal. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023
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